Finite Group DatabasebetaFinite Group DatabasebetaOrder 14464.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#16813653 | C2 | semidirect |
| 3. #20299172 | C2 | semidirect |
| 4. #20299079 | C2 | semidirect |
| 5. #20298823 | C2 | semidirect |
| 6. #20298816 | C2 | semidirect |
| 7. #20298807 | C2 | semidirect |
| 8. #20298802 | C2 | semidirect |
| 9. #20298624 | C2 | semidirect |
| 10. #20298597 | C2 | semidirect |
| 11. C2×#103×C113 | C2 | semidirect |
| 147. C113 | #3046 | semidirect |
| 158. C2×#103 | D113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#16813653 | 2 |
| C2×#16813644 | 2 |
| #20299172 | 2 |
| #20299079 | 2 |
| #20298823 | 2 |
| #20298816 | 2 |
| #20298807 | 2 |
| #20298802 | 2 |
| #20298624 | 2 |
| #20298597 | 2 |
| C2×#103×C113 | 2 |
| #3046 | 113 |